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Design and kinematics analysis of a new 3CCC parallel mechanism

Published online by Cambridge University Press:  10 February 2010

Dongming Gan ,
Qizheng Liao ,
Jian S. Dai  and
Shimin Wei
Dongming Gan*
Affiliation:
Beijing University of Posts and Telecommunications, Beijing 100876, China King's College London, University of London, Strand, London WC2R2LS, UK
Qizheng Liao
Affiliation:
Beijing University of Posts and Telecommunications, Beijing 100876, China
Jian S. Dai
Affiliation:
King's College London, University of London, Strand, London WC2R2LS, UK
Shimin Wei
Affiliation:
Beijing University of Posts and Telecommunications, Beijing 100876, China
*
*Corresponding author. E-mail: [email protected]
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Summary

A CCC limb and a new 3CCC parallel mechanism have been designed in this paper based on geometry analysis. Their mobility and geometrical constraints are discussed by using screw theory and geometrical equations separately. Following that both the inverse and forward kinematics of the 3CCC parallel mechanism are proposed, in which Dixon's resultant is used to get the forward solutions for the orientation and a eighth-order polynomial equation in one unknown is obtained, leading to the results for the position analysis, numerical examples confirm these theoretical results. A short comparison with the traditional Stewart platforms is presented in terms of kinematics, workspace and trajectory planning.

Keywords

General Stewart platformCylinderKinematicsMobilityWorkspace
Type
Article
Information
Robotica , Volume 28 , Issue 7 , December 2010 , pp. 1065 - 1072
Copyright
Copyright © Cambridge University Press 2010

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References

1.Gough, V. E., “Automobile Stability, Control, and Tyre Performance,” Proc. Automob. Div. Inst. Mech. Eng. (1956) pp. 392–394.Google Scholar
2.Stewart, D., “A platform with six degree of freedom,” Proc. Inst. Mech. Eng. (Part I) 180 (15), 371–386 (1965).CrossRefGoogle Scholar
3.Liao, Q. Z., Senevirantne, L. D. and Earles, S. W. E., “Forward Positional Analysis for the General 4–6 In-Parallel Platform,” Proc. Inst. Mech. Eng., C: J. Mech. Eng. Sci. (1995) pp. 55–67.Google Scholar
4.Ma, O. and Angeles, J., “Architecture Singularities of Platform Manipulators,” IEEE International Conference on Robotics and Automation, Sacramento, CA (Apr. 1991) Vol. 2, pp. 1542–1548.Google Scholar
5.Cardou, P. and Angeles, J., “Simplectic Architectures for True Multi-Axial Accelerometers: A Novel Application of Parallel Robots,” Proceedings of IEEE International Conference on Robotics and Automation, Rome, Italy (Apr. 10–14, 2007) Vol. 110, pp. 181–186.CrossRefGoogle Scholar
6.Merlet, J., “Direct kinematics of parallel manipulators,” IEEE Trans. Robot. Autom. 9, 842–846 (1993).CrossRefGoogle Scholar
7.Merlet, J. P., Jacobian, , “Manipulability, condition number, and accuracy of parallel robots,” ASME J. Mech. Des. 128, 199–206 (2006).CrossRefGoogle Scholar
8.Merlet, J. P., “Dimensional Synthesis of Parallel Robots with a Guaranteed Given Accuracy Over a Specific Workspace,” Proceedings of IEEE International Conference on Robotics and Automation, Barcelona, Spain (2005) pp. 942–947.Google Scholar
9.Dai, J. S., Sodhi, C. and Kerr, D. R., “Design and Analysis of a New Six-Component Force Transducer Based on the Stewart Platform for Robotic Grasping,” Proceedings of the second Biennial European Joint Conference on Engineering Systems Design and Analysis, London (July 4–7, 1994), ASME PD 64(8–3), pp. 809–817 (1994).Google Scholar
10.Etemadizanganeh, K. and Angeles, J., “Real-time direct kinematics of general 6-degree-of-freedom parallel manipulators with minimum-sensor data,” J. Robot. Syst. 12 (12), 833–844 (1995).CrossRefGoogle Scholar
11.Husty, M. L., “An algorithm for solving the direct kinematics of general Stewart–Gough platforms,” Mech. Mach. Theory 31, 365–380 (1996).CrossRefGoogle Scholar
12.Lee, T.-Y. and Shim, J.-K., “Improved dialytic elimination algorithm for the forward kinematics of the general Stewart–Gough platform,” Mech. Mach. Theorey 38, 563–577 (2003).CrossRefGoogle Scholar
13.Merlet, J. P., “Solving the forward kinematics of a Gough-type parallel manipulator with interval analysis,” Int. J. Robot. Res. 23 (3), 221–235 (2004).CrossRefGoogle Scholar
14.Gao, X. S., Lei, D., Liao, Q. and Zhang, G., “Generalized Stewart platforms and their direct kinematics,” IEEE Trans. Robot. 21, 141–151 (2005).Google Scholar
15.Dai, J. S. and Jones, J. R., “Interrelationship between screw systems and corresponding reciprocal systems and applications,” Mech. Mach. Theory 36, 633–651 (2001).CrossRefGoogle Scholar
16.Clark, J., Robotics, 3rd ed. (Mechanical Industry Press, Beijing, China, 2005).Google Scholar
17.Bottema, O. and Roth, B., Theoretical Kinematics (North-Holland, New York, 1979) pp. 9–11.Google Scholar
18.Donald, B. R., Kapur, D. and Mundy, J. L., Symbolic and Numerical Computation for Artificial Intelligence (Academic Press, London, 1992) pp. 52–55.Google Scholar
19.Su, H. J., Liao, Q. Z. and Liang, C. G., “Direct positional analysis for a kind of 5–5 platform in-parallel robotic mechanism,” Mech. Mach. Theory 34, 285–301 (1999).Google Scholar
20.Gan, D. M., Liao, Q., Dai, J., Wei, S. and Seneviratne, L., “Forward displacement analysis of the general 6–6 Stewart mechanism using Gröbner bases,” Mech. Mach. Theory 44, 1640–1647 (2009).CrossRefGoogle Scholar
21.Jiang, Qimi and Gosselin, C. M., “The maximal singularity-free workspace of the Gough–Stewart platform for a given orientation,” ASME J. Mech. Des. 130, 112304/1–8 (2008).CrossRefGoogle Scholar
22.Pernkopf, F. and Husty, M., “Workspace analysis of Stewart–Gough-type parallel manipulators,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. 220 (7), 1019–1032 (2006).CrossRefGoogle Scholar
23.Tsai, K. Y. and Lin, J. C., “Determining the compatible orientation workspace of Stewart–Gough parallel manipulators,” Mech. Mach. Theory 41, 1168–1184 (2006).CrossRefGoogle Scholar